The Baum–Katz theorem for dependent sequences

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• 作者：N. V. Huan
• 关键词：Key words and phrasesBaum–Katz theorem ; Rademacher type p Banach space ; negatively associated random variable
• 刊名：Acta Mathematica Hungarica
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：151
• 期：1
• 页码：162-172
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer Netherlands
• ISSN：1588-2632
• 卷排序：151

文摘

We propose an approach to the Baum–Katz theorem for dependent random sequences. Using this result, we obtain the rate of convergence in the strong law of large numbers for sequences of independent random elements in Rademacher type p Banach spaces and for sequences of negatively associated random variables.